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Finding the Fourth Proportional to 508.80, 762.98 and 264.80

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Solution

The fourth proportional to 508.80, 762.98 and 264.80 is: 397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 762.98 = 264.80 : x
  2. Step 2: Convert to fraction form
    508.80/762.98 = 264.80/x
  3. Step 3: Cross multiply
    508.80x = 762.98 × 264.80
  4. Step 4: Simplify right side
    508.80x = 202,037.10
  5. Step 5: Solve for x
    x = 202,037.10/508.80
  6. Step 6: Final answer
    x = 397.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.